Finite Group Databasebeta

C3×C4×C7×C479 #52594960

order40236
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

cyclicC40236
abelianC3×C4×C7×C479
multiplicative(ℤ/40237)ˣ, (ℤ/80474)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

40236 conjugacy classes. The character table is too large to display.

Relationships

automorphism group ofC40237
outer automorphism group ofC40237

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(40236, 1);